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# Let P(A) = 0.3 and P(B) = 0.6.(a) Find P(A ? B) when A and

ISBN: 9780321923271 41

## Solution for problem 2E Chapter 1.4

Probability and Statistical Inference | 9th Edition

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Problem 2E

PROBLEM 2E

Let P(A) = 0.3 and P(B) = 0.6.

(a) Find P(A ∪ B) when A and B are independent.

(b) Find P(A|B) when A and B are mutually exclusive.

Step-by-Step Solution:
Step 1 of 3

Solution 2E

Step1 of 3:

We have,

P(A) = 0.3 and

P(B) = 0.6

We need to find,

a).P(AB) when A and B are independent.

b).P(A/B)  when A and B are mutually Exclusive.

Step2 of 3:

a).

P(AB)  can be calculated by using the formula P(AB) = P(A) + P(B) - P(AB)

Where,

P(AB) = P(A)P(B)    [because we know that A and B are independent]

= 0.30.6

= 0.18

Hence,P(AB) = 0.18.

Now,

P(AB) = P(A) + P(B) - P(AB)

...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321923271

This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. This full solution covers the following key subjects: ind, independent, exclusive, let, mutually. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The full step-by-step solution to problem: 2E from chapter: 1.4 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 2E from 1.4 chapter was answered, more than 238 students have viewed the full step-by-step answer. The answer to “Let P(A) = 0.3 and P(B) = 0.6.(a) Find P(A ? B) when A and B are independent.(b) Find P(A|B) when A and B are mutually exclusive.” is broken down into a number of easy to follow steps, and 27 words. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271.

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